In this work, we define the notion of commutativity degree of crossed modules and find some bounds on commutativity degree for special types of crossed modules. Also, we give a function for finding commutativity degree of crossed modules in GAP and classify crossed modules by using this function.
Commutativity degree, crossed module, isoclinic crossed module, GAP
ARVASİ, ZEKERİYA; ÇAĞLAYAN, ELİF ILGAZ; and ODABAŞ, ALPER
"Commutativity degree of crossed modules,"
Turkish Journal of Mathematics: Vol. 46:
1, Article 24.
Available at: https://journals.tubitak.gov.tr/math/vol46/iss1/24